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Finding the Third Proportional to 83,480.06 and 196,863.75

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Solution

The third proportional to 83,480.06 and 196,863.75 is: 464,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,480.06 : 196,863.75 = 196,863.75 : x
  2. Step 2: Convert to fraction form
    83,480.06/196,863.75 = 196,863.75/x
  3. Step 3: Cross multiply
    83,480.06x = 196,863.75 × 196,863.75
  4. Step 4: Simplify right side
    83,480.06x = 38,755,336,064.06
  5. Step 5: Solve for x
    x = 38,755,336,064.06/83,480.06
  6. Step 6: Final answer
    x = 464,246.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.